Fuzzy n-ary hypergroups related to fuzzy points


KAZANCI O. , Davvaz B., YAMAK S.

NEURAL COMPUTING & APPLICATIONS, vol.19, no.5, pp.649-655, 2010 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 5
  • Publication Date: 2010
  • Doi Number: 10.1007/s00521-009-0313-8
  • Title of Journal : NEURAL COMPUTING & APPLICATIONS
  • Page Numbers: pp.649-655

Abstract

In this paper, we introduce and study a new sort of fuzzy n-ary sub-hypergroups of an n-ary hypergroup, called (is an element of, is an element of Vq)-fuzzy n-ary sub-hypergroup. By using this new idea, we consider the (is an element of, is an element of Vq)-fuzzy n-ary sub-hypergroup of a n-ary hypergroup. This newly defined (is an element of, is an element of Vq)-fuzzy n-ary sub-hypergroup is a generalization of the usual fuzzy n-ary sub-hypergroup. Finally, we consider the concept of implication-based fuzzy n-ary sub-hypergroup in an n-ary hypergroup and discuss the relations between them, in particular, the implication operators in Lukasiewicz system of continuous-valued logic are discussed.